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Finding the Fourth Proportional to 310,032,431.70, 465,048,647.55 and 206,720,301.30

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Solution

The fourth proportional to 310,032,431.70, 465,048,647.55 and 206,720,301.30 is: 310,080,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,032,431.70 : 465,048,647.55 = 206,720,301.30 : x
  2. Step 2: Convert to fraction form
    310,032,431.70/465,048,647.55 = 206,720,301.30/x
  3. Step 3: Cross multiply
    310,032,431.70x = 465,048,647.55 × 206,720,301.30
  4. Step 4: Simplify right side
    310,032,431.70x = 96,134,996,540,693,520
  5. Step 5: Solve for x
    x = 96,134,996,540,693,520/310,032,431.70
  6. Step 6: Final answer
    x = 310,080,451.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.